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4000141224414 = 233131565470911
BaseRepresentation
bin111010001101011010111…
…111110010100111011110
3112011102001201102122102000
4322031122333302213132
51011014242123140124
612301350044543130
7562000141253106
oct72153277624736
915142051378360
104000141224414
1113024a548a665
12547307251aa6
1323029a14418a
14db871dc2206
156e0bd5a46c9
hex3a35aff29de

4000141224414 has 32 divisors (see below), whose sum is σ = 8957059246080. Its totient is φ = 1323201929400.

The previous prime is 4000141224403. The next prime is 4000141224481. The reversal of 4000141224414 is 4144221410004.

It is a happy number.

4000141224414 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 1 + 412 + 244 + 1 + 4 = 666.

It is a super-2 number, since 2×40001412244142 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282728382 + ... + 282742529.

It is an arithmetic number, because the mean of its divisors is an integer number (279908101440).

Almost surely, 24000141224414 is an apocalyptic number.

4000141224414 is an abundant number, since it is smaller than the sum of its proper divisors (4956918021666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4000141224414 is a wasteful number, since it uses less digits than its factorization.

4000141224414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565471053 (or 565471047 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4000141224414 its reverse (4144221410004), we get a palindrome (8144362634418).

The spelling of 4000141224414 in words is "four trillion, one hundred forty-one million, two hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 131 262 393 786 1179 2358 3537 7074 565470911 1130941822 1696412733 3392825466 5089238199 10178476398 15267714597 30535429194 74076689341 148153378682 222230068023 444460136046 666690204069 1333380408138 2000070612207 4000141224414